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• W3196268245 abstract "In [3], Antoine and Vandergheynst propose a group-theoretic approach to continuous wavelet frames on the sphere. The frame is constructed from a single so-called admissible function by applying the unitary operators associated to a representation of the Lorentz group, which is square-integrable modulo the nilpotent factor of the Iwasawa decomposition. We prove necessary and sufficient conditions for functions on the sphere, which ensure that the corresponding system is a frame. We strengthen a similar result in [3] by providing a complete and detailed proof." @default.
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• W3196268245 date "2022-01-01" @default.
• W3196268245 modified "2023-10-15" @default.
• W3196268245 title "Continuous wavelet frames on the sphere: The group-theoretic approach revisited" @default.
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• W3196268245 doi "https://doi.org/10.1016/j.acha.2021.08.003" @default.
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